Minoration de la première valeur propre non nulle du problème de Neumann sur les variétés riemanniennes à bord

DOI10.5802/aif.1051zbMath0582.58036OpenAlexW2326172521MaRDI QIDQ1068410

Daniel Meyer

Publication date: 1986

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1986__36_2_113_0

zbMATH Keywords

first eigenvalueNeumann problemRiemannian manifold with boundary

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

Related Items (4)

A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions ⋮ D'un résultat hilbertien à un principe de comparaison entre spectres. Applications ⋮ D'un résultat hilbertien à un principe de comparaison entre spectres. Applications ⋮ On Poincaré Type Inequalities

Cites Work

• On Laplacian and Hessian comparison theorems
• A general comparison theorem with applications to volume estimates for submanifolds
• Lower Bounds for Vibration Frequencies of Elastically Supported Membranes and Plates
• On the mean value of the fundamental mode in the fixed membrane problem
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